一类具有时滞的Lotka-Volterra系统的Hopf分支与混沌控制  

Hopf Bifurcation and Chaos Control of a Lotka-Volterra System with Delay

作　　者：徐雪娇[1] 林怡平[1] 

机构地区：[1]昆明理工大学理学院应用数学系,云南昆明650093

出　　处：《云南师范大学学报（自然科学版）》2010年第4期28-33,共6页Journal of Yunnan Normal University:Natural Sciences Edition

摘　　要：文章研究了一类具有时滞的Lotka.Volterra系统,得到了正平衡点附近产生Hopf分支的条件及其分支方向、稳定性与周期的判定公式.当时滞充分大时,系统会出现混沌现象.利用Hopf分支理论与时滞反馈控制方法,对混沌进行了控制.并在最后给出数值模拟.In this paper, a Lotka - Volterra system with time delay is studied by using the theory of functional equation and Hopf bifurcation, the condition on which positive equilibrium exists and the quality of Hopf bifurcation are given. Finally, we give several numerical simulations, which indicate that when the delay passes through certain critical values, chaotic oscillation is converted into a stable state or a stable periodic orbit.

关 键 词：LOTKA-VOLTERRA系统 HOPF分支 混沌 混沌控制 

分 类 号：O175.1[理学—数学]